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Finding the Third Proportional to 40,314 and 85,110

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Solution

The third proportional to 40,314 and 85,110 is: 179,682.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,314 : 85,110 = 85,110 : x
  2. Step 2: Convert to fraction form
    40,314/85,110 = 85,110/x
  3. Step 3: Cross multiply
    40,314x = 85,110 × 85,110
  4. Step 4: Simplify right side
    40,314x = 7,243,712,100
  5. Step 5: Solve for x
    x = 7,243,712,100/40,314
  6. Step 6: Final answer
    x = 179,682.30

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.